Geometry 2.3.1 Triangle Inequality Theorem
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, does it satisfy the Triangle Inequality Theorem?
Back
Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.
3.
FLASHCARD QUESTION
Front
What is the minimum length of the third side if two sides of a triangle are 7 cm and 10 cm?
Back
The minimum length of the third side must be greater than 3 cm (10 - 7).
4.
FLASHCARD QUESTION
Front
What is the maximum length of the third side if two sides of a triangle are 7 cm and 10 cm?
Back
The maximum length of the third side must be less than 17 cm (7 + 10).
5.
FLASHCARD QUESTION
Front
If one side of a triangle is 12 cm and the other two sides are 5 cm and x cm, what is the range of possible values for x?
Back
x must be greater than 7 cm and less than 17 cm.
6.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides in a triangle according to the Triangle Inequality Theorem?
Back
In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.
7.
FLASHCARD QUESTION
Front
How can the Triangle Inequality Theorem be used to determine if three lengths can form a triangle?
Back
By checking if the sum of any two lengths is greater than the third length.
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